心动周期性多普勒波形的平均方法

许多临床上有用的多普勒小以形都是随时产是变化的，但又近似于周期心动周期的周期信号。为准确估计这些多普靳波形，并提取主同灵敏度的特征参数，有必要对它们按心吉期进行平均。     

一种改进的小波除噪方法用于含噪ICP-AES光谱的处理

提出了一种改进的小波除噪方法。它基于噪声具有频率较高和幅度较小的特点 ,先排除信号中频率较高的成分 ,再丢弃余下的系数较小的成分。对模拟的含噪电感耦合等离子体原子发射光谱 (ICP AES)的处理结果表明 ,该法能克服小波平滑和小波去噪的一些缺陷 ,可去除更多噪声 ,而信号强度不受影响。同时 ,基线变得平坦 ,有利于峰高的定量计算。用该法处理实测ICP AES光谱 ,效果满意。     

作物垄作的数学模型

应用高等数学中对面积的曲面积分等方法,建立了垄作种植中半椭圆形、抛物线型和三角形垄的数学模型,比较了不同垄形、垄宽、垄高在增加单位土地表面积和突出地面垄体体积的效果.     

中药色谱指纹图谱的小波变换与分形

为了提取中药指纹图谱共性的特征,将小波变换与分形维数相结合,对同一种中药指纹图谱进行小波变换,并求其分形维数,利用相关系数法,考察了分形维数对温度和测试条件的抗干扰能力,结果表明小波变换的分形维数对温度变化具有较好的抗干扰能力,可以作为描述中药指纹图谱共性的特征.     

Wavelet expansions forBMOρ (w)‐functions

We give necessary and sufficient conditions on the wavelet coefficients of a function for being a member of some BMO_φ (w) space. We achieve this characterization for a wide variety of wavelet systems. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)     

Wavelet transforms and order-two densities of fractals

We highlight a correspondence between order-two densities and wavelet-like transforms of certain fractal measures. We use a variant of the ergodic theorem to demonstrate that these densities and transforms are well-behaved for a large class of quasi-self-similar fractals. We show that parallel ideas can be used to study the local behavior of certain fractal functions.     

Some recent and new results on the maximum entropy distribution

This letter concerns the maximum entropy (ME) distribution proposed by Theil and Laitinen (1980); it summarizes some of the results obtained with this distribution and its explores the conditioning of the ME covariance matrix as the number of variables increases.     

Low-pass filters and representations of the Baumslag Solitar group

We analyze representations of the Baumslag Solitar group

that admit wavelets and show how such representations can be constructed from a given low-pass filter. We describe the direct integral decomposition for some examples and derive from it a general criterion for the existence of solutions for scaling equations. As another application, we construct a Fourier transform for some Hausdorff measures.

     

"Push-the-Error" Algorithm for Nonlinear n-Term Approximation

This paper is concerned with further developing and refining the analysis of a recent algorithmic paradigm for nonlinear approximation, termed the "Push-the-Error" scheme. It is especially designed to deal with L_∞-approximation in a multilevel framework. The original version is extended considerably to cover all commonly used multiresolution frameworks. The main conceptually new result is the proof of the quasi-semi-additivity of the functional N(ε) counting the number of terms needed to achieve accuracy ε. This allows one to show that the improved scheme captures all rates of best n-term approximation.     

Modification of three dimensional topography of the machined KDP crystal surface using wavelet analysis method

The wavelet analysis method has been extensively employed to analyze the surface structures and evaluate the surface roughness. In this work, however, the wavelet analysis method was introduced to decompose and reconstruct the sampled surface profile signals in the cutting direction that achieved by SPDT (single point diamond turning) operation, and the surface profile signals in tool feeding direction were reconstructed with the approximate harmonic functions directly. And moreover, the orthogonal design method, i.e. the combination design of general rotary method, was resorted to model the variations of the independent frequency and amplitude of different simulated harmonic signals in the cutting and tool feeding directions. As expected resultantly, a novel 3D surface topography modeling solution was established, which aims to predict and modify the finished KDP (potassium dihydrogen phosphate or KH₂PO₄) crystal surfaces. The validation tests were carried out finally under different cutting conditions, and the collected average surface roughness in any case was compared with the corresponding value as predicted. The results indicated the experimental data were well consistent with the predictions, and only an average relative error of 11.4% occurred in predicting the average surface roughness.